Question
Factor the expression
Factor
(x−5)(x−3)
Evaluate
x2−8x+15
Rewrite the expression
x2+(−3−5)x+15
Calculate
x2−3x−5x+15
Rewrite the expression
x×x−x×3−5x+5×3
Factor out x from the expression
x(x−3)−5x+5×3
Factor out −5 from the expression
x(x−3)−5(x−3)
Solution
(x−5)(x−3)
Show Solution
Find the roots
Find the roots of the algebra expression
x1=3,x2=5
Evaluate
x2−8x+15
To find the roots of the expression,set the expression equal to 0
x2−8x+15=0
Factor the expression
More Steps
Evaluate
x2−8x+15
Rewrite the expression
x2+(−3−5)x+15
Calculate
x2−3x−5x+15
Rewrite the expression
x×x−x×3−5x+5×3
Factor out x from the expression
x(x−3)−5x+5×3
Factor out −5 from the expression
x(x−3)−5(x−3)
Factor out x−3 from the expression
(x−5)(x−3)
(x−5)(x−3)=0
When the product of factors equals 0,at least one factor is 0
x−5=0x−3=0
Solve the equation for x
More Steps
Evaluate
x−5=0
Move the constant to the right-hand side and change its sign
x=0+5
Removing 0 doesn't change the value,so remove it from the expression
x=5
x=5x−3=0
Solve the equation for x
More Steps
Evaluate
x−3=0
Move the constant to the right-hand side and change its sign
x=0+3
Removing 0 doesn't change the value,so remove it from the expression
x=3
x=5x=3
Solution
x1=3,x2=5
Show Solution